×
Mihailescu-Suliciu, Mihaela; Suliciu, Ion

Energy for hypoelastic constitutive equations. (English) Zbl 0418.73006

Arch. Ration. Mech. Anal. 71, 327-344 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0418.73006

Cited in 2 Reviews
Cited in 6 Documents

MSC:

74A20 Theory of constitutive functions in solid mechanics

Keywords:

energy; hypoelastic constitutive equations
Cite Review PDF
Full Text: DOI

References:

[1] Truesdell, C, & W. Noll, The nonlinear field theories of mechanics, Handbuch der Physik, Vol. III/3, Springer-Verlag, 1965. · Zbl 0779.73004
[2] Noll, W., A new mathematical theory of simple materials, Arch. Rational Mech. Anal. 48(1972), 1–50. · Zbl 0271.73006 · doi:10.1007/BF00253367
[3] Bernstein, B., Hypoelasticity and elasticity, Arch. Rational Mech. Anal. 6(1960), 89–104. · Zbl 0094.36702 · doi:10.1007/BF00276156
[4] Coleman, B. D., & D. R. Owen, On thermodynamics and intrinsically equilibrated materials, Annali di Mat. pura ed Appl. 108 (1976), 189–199. · Zbl 0351.73006 · doi:10.1007/BF02413953
[5] Bernstein, B., & J. L. Ericksen, Work functions in hypoelasticity, Arch. Rational Mech. Anal. 1(1957–58), 396–409. · Zbl 0083.18703 · doi:10.1007/BF00298017
[6] Ericksen, J. L., Hypoelastic potentials, Quart. J. Mech. and Appl. Math. 11(1958), 67–72. · Zbl 0083.18801 · doi:10.1093/qjmam/11.1.67
[7] Truesdell, C., Hypoelasticity, J. Rational Mech. Anal. 4 (1955), 83–133, 1019–1020.
[8] Gurtin, M. E., & I. Suliciu, published in Cristescu, N., & I. Suliciu, Viscoplasticity, Ch. VI, Ed. Tehnica, Bucuresti, 1976 (in Romanian).
[9] Hicks, N. F., Notes on Differential Geometry, Van Nostrand, 1971. · Zbl 0219.54023
[10] Sternberg, S., Lectures on Differential Geometry, Prentice-Hall Inc., Englewood Cliffs, N.J., 1964. · Zbl 0129.13102
[11] Hartman, P., Ordinary Differential Equations, John Wiley and Sons, 1964. · Zbl 0125.32102
[12] Gurtin, M. E., I. Suliciu & W. O. Williams, On rate-type constitutive equations and energy (to be published). · Zbl 0433.73004
[13] Mihăilescu-SuLiciu, M., & I. Suliciu, Hypoelasticity and rate-independent plasticity theory (to be published). · Zbl 0861.73025
[14] Gurtin, M. E., private communication, March, 1977.
[15] Nunziato, J. W., & D. S. Drumheller, The thermodynamics of Maxwellian materials, Int. J. Solids Structure 14(1978), 545–558. · Zbl 0434.73004 · doi:10.1016/0020-7683(78)90054-9
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.